- #1
Rettaw
- 6
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Hello, I am reading this paper about quantum gravity, trying and failing to follow along in the derivation of this, eq (204) p. 72, expression for the scale factor:
[itex]
a(t) = a_1 \left( 1 + \frac 3 2 ( 1 + \omega ) H_1 (t - t_1) \right)^{\frac 2 {3(1+\omega)}}
[/itex]
(I'm not sure what the subscript 1 means, it's not clear from the text)
This we apparently can get from the equation
[itex]
3 H^2 - c^2 \Lambda = \frac{8 \pi G} {c^2} \rho
[/itex]
and
[itex]
\rho (t) = \rho_1 (\frac {a(t)} {a_1} )^{-3(1+\omega)}.
[/itex]
Could anyone help me with this?
/Rettaw
[itex]
a(t) = a_1 \left( 1 + \frac 3 2 ( 1 + \omega ) H_1 (t - t_1) \right)^{\frac 2 {3(1+\omega)}}
[/itex]
(I'm not sure what the subscript 1 means, it's not clear from the text)
This we apparently can get from the equation
[itex]
3 H^2 - c^2 \Lambda = \frac{8 \pi G} {c^2} \rho
[/itex]
and
[itex]
\rho (t) = \rho_1 (\frac {a(t)} {a_1} )^{-3(1+\omega)}.
[/itex]
Could anyone help me with this?
/Rettaw